115 citations · 379 across the 31 of their papers we have counts for
3 papers · 1 filter
DeepGreen: Deep Learning of Green's Functions for Nonlinear Boundary Value Problems
Craig R. Gin, Daniel E. Shea, Steven L. Brunton +1
Boundary value problems (BVPs) play a central role in the mathematical analysis of constrained physical systems subjected to external forces. Consequently, BVPs frequently emerge i…
Randomized methods to characterize large-scale vortical flow network
Zhe Bai, N. Benjamin Erichson, Muralikrishnan Gopalakrishnan Meena +2
We demonstrate the effective use of randomized methods for linear algebra to perform network-based analysis of complex vortical flows. Network theoretic approaches can reveal the c…
Time-Delay Observables for Koopman: Theory and Applications
Mason Kamb, Eurika Kaiser, Steven L. Brunton +1
Nonlinear dynamical systems are ubiquitous in science and engineering, yet analysis and prediction of these systems remains a challenge. Koopman operator theory circumvents some of…